This question cannot be answered.
There is no such word as "Comunitive" and so "the Comunitive Property of addition" does not exist.
One possible alternative is the "commutative" property, but that is only of marginal relevance in terms of the given expression.
Thus, it is not at all clear what property the question is about and why any such property should be invoked.
In the distributive property, we distribute the multiplication operation over addition or subtraction within parentheses. In this case, we have (7x5) (7x2). By applying the distributive property, we can simplify this expression as 7*(5+2), which equals 7*7. Therefore, the result of (7x5) (7x2) in distributive property is 49.
When you can change the grouping of numbers while adding, you are applying the associative property of addition. This property states that the way in which numbers are grouped does not affect the sum. For example, in the expression (a + b) + c, you can regroup it as a + (b + c), and the result will remain the same. This property allows for flexibility in calculations and simplifications.
0*9*7*2*6 = 9*6*7*2*0
Yes, the expression (5(D + 1)) can be rewritten as (5D + 5). This is achieved by applying the distributive property, multiplying (5) by both (D) and (1).
In the case of addition: Commutative property: a + b = b + a Associative property: (a + b) + c = a + (b + c) Note that (1) the commutative property involves two numbers; the associative property involves three; and (2) the commutative property changes the order of the operands; the associative property doesn't. Repeatedly applying the two properties allow you to rearrange an addition that involves several numbers in any order.
In the distributive property, we distribute the multiplication operation over addition or subtraction within parentheses. In this case, we have (7x5) (7x2). By applying the distributive property, we can simplify this expression as 7*(5+2), which equals 7*7. Therefore, the result of (7x5) (7x2) in distributive property is 49.
When you can change the grouping of numbers while adding, you are applying the associative property of addition. This property states that the way in which numbers are grouped does not affect the sum. For example, in the expression (a + b) + c, you can regroup it as a + (b + c), and the result will remain the same. This property allows for flexibility in calculations and simplifications.
0*9*7*2*6 = 9*6*7*2*0
Yes, the expression (5(D + 1)) can be rewritten as (5D + 5). This is achieved by applying the distributive property, multiplying (5) by both (D) and (1).
When using the distributive property to write an expression, you do not simplify within the parentheses before applying the property. The distributive property involves multiplying the term outside the parentheses by each term inside the parentheses. Once you have distributed the term, you can then simplify the resulting expression by combining like terms. Simplifying before distributing would result in an incorrect application of the distributive property.
In the case of addition: Commutative property: a + b = b + a Associative property: (a + b) + c = a + (b + c) Note that (1) the commutative property involves two numbers; the associative property involves three; and (2) the commutative property changes the order of the operands; the associative property doesn't. Repeatedly applying the two properties allow you to rearrange an addition that involves several numbers in any order.
Yes, the expression 3(2x + 4) uses the distributive property. When applying the distributive property, you multiply each term inside the parentheses by 3, resulting in 6x + 12. However, the expression 5x + 4 does not equal 6x + 12, so they are not equivalent. Therefore, while the first part uses the distributive property, the two expressions are not the same.
The way in which numbers are grouped when added or multiplied does not change the sum or product.In symbols the associative property of addition says that (a+b) +c = a + (b +c) where a,b, and c are any numbers.The associative property for multiplication says that (ab)c=a(bc).Informally, the associative property says that grouping does not matter when applying the operation.
The distributive property states that a(b + c) = ab + ac. To use this to write an expression equivalent to ( x + y ), you can express it as ( 1(x + y) ), which simplifies to ( 1 \cdot x + 1 \cdot y ). Thus, applying the distributive property, you can rewrite ( x + y ) as ( 1 \cdot (x + y) ) or simply keep it as ( x + y ) since it remains equivalent.
From Wikipedia: "In mathematics, an algebraic expression is an expression built up from constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)". So, the answer is yes - since any polynomial can be obtained by applying only a subset of these operations (additions, subtraction, multiplication).
To find an equivalent expression, you can use algebraic manipulation techniques such as factoring, distributing, combining like terms, or applying the properties of operations (like the distributive property or the associative property). Simplifying complex expressions or rewriting them in different forms can also help identify equivalence. Additionally, substituting values for variables can verify if two expressions yield the same result. Always ensure that any transformations maintain the original expression's value for all permissible values of the variables involved.
The distributive property combines addition and multiplication to make multiplying whole numbers easier. This property states that for any three numbers a, b, and c, a x (b + c) = a x b + a x c. By applying the distributive property, we can break down complex multiplication problems into simpler steps, ultimately making calculations more manageable and efficient.